Question

Violeta wants to install new tiling in her kitchen. She places two triangular tiles together as shown in the following figure. In order to plan her installation, she needs to find the length of BC

Answer 1

25

Explanation:

To obtain the length of BC, we shall apply the pythagoras theory as show below:

From the diagram above, the pythagoras theory states as follow:

|BD|² = |CD|² + |BC|²

|BD| = 65

|CD| = 60

|BC| = m

|BD|² = |CD|² + |BC|²

65² = 60² + m²

4225 = 3600 + m²

Collect like terms

m² = 4225 – 3600

m² = 625

Take the square root of both side

m = √625

m = 25

|BC| = m = 25

Therefore, the length of BC is 25